Last Updated
：2025/11/22
hyperbolic polynomial
Noun
Japanese Meaning
（数学）実数係数かつ多変数の斉次多項式 p(x) に対し、ある特定の方向 e に沿って p(x – t·e) = 0 と置いたとき、変数 t に関する方程式の全ての根が実数である場合、その多項式を『hyperbolic polynomial』、すなわち双曲多項式と呼ぶ。
Sense（1）
（ plural ）
Quizzes for review
(mathematics) A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t.
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hyperbolic polynomial
When studying wave propagation, mathematicians sometimes analyze a hyperbolic polynomial to determine whether p(x-te) = 0 has only real roots as a function of t.
See correct answer
When studying wave propagation, mathematicians sometimes analyze a hyperbolic polynomial to determine whether p(x-te) = 0 has only real roots as a function of t.
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